DbProviderFactory using Data Connection UI

Question

I'm trying to use the DDEX Data Connection UI from Microsoft:

https://msdn.microsoft.com/en-us/library/bb163928.aspx

But I can't seem to find any example C# code on how to run it. Specifically, I am looking to implement a DbProviderFactory

https://msdn.microsoft.com/en-us/library/dd0w4a2z.aspx

to create the right connection. Is it the same as the Nuget DataConnectionDialog here?

https://stackoverflow.com/a/32326126/3661120

If so, how do I'd like to implement the code described in the bottom part of this answer:

https://stackoverflow.com/a/13134064/3661120

but I don't know how to parse out the driver name, when all the dialog box does is return the ConnectionString.